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Asymptotics and Mellin-Barnes Integralsby R. B. Paris; D. Kaminski; G.-C. Rota
Cambridge University Press 2001; US$ 158.00Asymptotics and Mellin-Barnes Integrals provides an account of the use and properties of a type of complex integral representation that arises frequently in the study of special functions typically of interest in classical analysis and mathematical physics. more...
Integral Transforms and Their Applicationsby Lokenath Debnath
CRC Press 2008; US$ 79.95Stresses the development of analytical skills rather than the importance of more abstract formulation. This book provides a working knowledge of the analytical methods required in pure and applied mathematics, physics, and engineering. It contains more than 500 worked examples and exercises with answers as well as hints to selected exercises. more...
Hilbert-huang Transform And Its Applicationsby Norden E Huang; Samuel S P Shen
World Scientific 2005; US$ 151.00The Hilbert?Huang Transform (HHT) represents a desperate attempt to break the suffocating hold on the field of data analysis by the twin assumptions of linearity and stationarity. Unlike spectrograms, wavelet analysis, or the Wigner?Ville Distribution, HHT is truly a time-frequency analysis, but it does not require an a priori functional basis and, therefore, the convolution computation of frequency. The method provides a magnifying glass to examine the data, and also offers a different view of data from nonlinear processes, with the results no longer shackled by spurious harmonics ? the artifacts of imposing a linearity property on a nonlinear system or of limiting by the uncertainty principle, and a consequence of Fourier transform pairs... more...
Operational Calculus and Related Topicsby H.J. Glaeske
Taylor & Francis 2006; US$ 89.95Presents an introduction to operational calculus, integral transforms, and generalized functions, the backbones of pure and applied mathematics. This work examines both the analytical and algebraic aspects of operational calculus and includes a comprehensive survey of classical results while stressing developments in the field. more...
Numerical Methods for Laplace Transform Inversionby Alan M. Cohen
Springer 2007; US$ 84.95This book gives background material on the theory of Laplace transforms, together with a fairly comprehensive list of methods that are available at the current time. Computer programs are included for those methods that perform consistently well on a wide range of Laplace transforms. Operational methods have been used for over a century to solve problems such as ordinary and partial differential equations. more...
Mathematical Tables: Laplace Transformsby MobileReference
MobileReference.com 2010; US$ 3.99Students and research workers in mathematics, physics, engineering and other sciences will find this compilation invaluable. All the information included is practical, rarely used results are excluded. Great care has been taken to present all results concisely and clearly. Excellent to keep as a handy reference! If you don't have a lot of time but want to excel in class, this book helps you: Brush up before tests Find answers fast Learn key formulas and tables Study quickly and more effectively Inside this guide, you will find: Most important Laplace Transforms Clear and concise explanations of all results Definitions and examples more...
Hilbert Transforms, Volume 1by Frederick W. King
Cambridge University Press 2009; US$ 130.00The definitive reference on Hilbert transforms covering the mathematical techniques for evaluating them, and their application. more...
Integral Transforms for Engineersby Larry C. Andrews; Bhimsen K. Shivamoggi
SPIE 1999; US$ 51.00Integral transform methods provide effective ways to solve a variety of problems arising in the engineering, optical, and physical sciences. Suitable as a self-study for practicing engineers and applied mathematicians and as a textbook in graduate-level courses in optics, engineering sciences, physics, and mathematics. more...
Vector-valued Laplace Transforms and Cauchy Problemsby Wolfgang Arendt; Charles J.K. Batty; Matthias Hieber; Frank Neubrander
Springer 2011; US$ 129.00This monograph gives a systematic account of the theory of vector-valued Laplace transforms, ranging from representation theory to Tauberian theorems. In parallel, the theory of linear Cauchy problems and semigroups of operators is developed completely in the spirit of Laplace transforms. Existence and uniqueness, regularity, approximation and above all asymptotic behaviour of solutions are studied. Diverse applications to partial differential equations are given. The book contains an introduction to the Bochner integral and several appendices on background material. It is addressed to students and researchers interested in evolution equations, Laplace and Fourier transforms, and functional analysis. The second edition contains detailed notes... more...
Convolution and Equidistributionby Nicholas M. Katz
Princeton University Press 2012; US$ 75.00Convolution and Equidistribution explores an important aspect of number theory--the theory of exponential sums over finite fields and their Mellin transforms--from a new, categorical point of view. The book presents fundamentally important results and a plethora of examples, opening up new directions in the subject. The finite-field Mellin transform (of a function on the multiplicative group of a finite field) is defined by summing that function against variable multiplicative characters. The basic question considered in the book is how the values of the Mellin transform are distributed (in a probabilistic sense), in cases where the input function is suitably algebro-geometric. This question is answered by the book's main theorem, using... more...
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